Q. A rectangle has an area of 48 square meters and a length of 12 meters. What is the width?
A.
4 meters
B.
6 meters
C.
8 meters
D.
10 meters
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Solution
Area = length × width. Thus, 48 = 12 × width, giving width = 48/12 = 4 meters.
Correct Answer:
B
— 6 meters
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Q. A rectangle has an area of 60 square meters and a length of 12 meters. What is the width?
A.
5 meters
B.
6 meters
C.
7 meters
D.
8 meters
Show solution
Solution
Area = length × width. Thus, 60 = 12 × width, giving width = 60/12 = 5 meters.
Correct Answer:
B
— 6 meters
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Q. A rectangle's length is 3 times its width. If the area is 75 square meters, what is the length?
A.
15 meters
B.
25 meters
C.
30 meters
D.
20 meters
Show solution
Solution
Let width = x, then length = 3x. Area = length × width = 3x * x = 3x² = 75. Thus, x² = 25, x = 5, and length = 15 meters.
Correct Answer:
A
— 15 meters
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Q. A rectangle's length is three times its width. If the perimeter is 64 cm, what is the area of the rectangle?
A.
192 cm²
B.
128 cm²
C.
96 cm²
D.
64 cm²
Show solution
Solution
Let width = x, then length = 3x. Perimeter = 2(length + width) = 2(3x + x) = 8x = 64, so x = 8 cm. Area = length × width = 3x * x = 3(8)(8) = 192 cm².
Correct Answer:
B
— 128 cm²
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Q. A rectangular field is 50 meters long and 30 meters wide. If a fence is built around it, what is the total length of the fence?
A.
160 m
B.
140 m
C.
120 m
D.
180 m
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Solution
Perimeter = 2(length + width) = 2(50 + 30) = 2 × 80 = 160 m.
Correct Answer:
A
— 160 m
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Q. A rectangular garden has a length of 12 m and a width of 5 m. If a path of width 1 m is built around it, what is the area of the path?
A.
50 m²
B.
60 m²
C.
70 m²
D.
80 m²
Show solution
Solution
Area of the garden = 12 × 5 = 60 m². Area of the garden with the path = (12 + 2) × (5 + 2) = 14 × 7 = 98 m². Area of the path = 98 - 60 = 38 m².
Correct Answer:
B
— 60 m²
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Q. A rectangular garden has a length of 30 meters and a width of 20 meters. What is the area of the garden?
A.
600 m²
B.
500 m²
C.
400 m²
D.
300 m²
Show solution
Solution
Area = length × width = 30 × 20 = 600 m².
Correct Answer:
A
— 600 m²
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Q. A rectangular garden is 10 m long and 6 m wide. If a path of width 1 m is built around it, what is the area of the path? (2023)
A.
32 m²
B.
36 m²
C.
40 m²
D.
44 m²
Show solution
Solution
Area of the garden = 10 * 6 = 60 m². Area including the path = (10 + 2) * (6 + 2) = 12 * 8 = 96 m². Area of the path = 96 - 60 = 36 m².
Correct Answer:
B
— 36 m²
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Q. A rectangular garden is 30 meters long and 20 meters wide. If a path of 1 meter width is built around it, what is the area of the path?
A.
80 m²
B.
100 m²
C.
120 m²
D.
140 m²
Show solution
Solution
Area of the garden = 30 × 20 = 600 m². Area including the path = (30 + 2) × (20 + 2) = 32 × 22 = 704 m². Area of the path = 704 - 600 = 104 m².
Correct Answer:
B
— 100 m²
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Q. A rectangular plate of mass M and dimensions a x b is rotated about an axis along one of its edges. What is its moment of inertia?
A.
1/3 Ma^2
B.
1/12 Ma^2 + 1/3 Mb^2
C.
1/2 Ma^2
D.
1/4 Ma^2 + 1/3 Mb^2
Show solution
Solution
The moment of inertia of a rectangular plate about an edge is I = 1/12 Ma^2 + 1/3 Mb^2.
Correct Answer:
B
— 1/12 Ma^2 + 1/3 Mb^2
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Q. A rectangular plot has a length of 50 meters and a width of 30 meters. If a path of 2 meters width is built around it, what is the area of the path?
A.
320 m²
B.
400 m²
C.
600 m²
D.
800 m²
Show solution
Solution
Total area with path = (50 + 4) × (30 + 4) = 54 × 34 = 1836 m². Area of the plot = 50 × 30 = 1500 m². Area of the path = 1836 - 1500 = 336 m².
Correct Answer:
B
— 400 m²
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Q. A rectangular prism has dimensions 3 cm, 4 cm, and 5 cm. What is its volume?
A.
60 cm³
B.
12 cm³
C.
15 cm³
D.
20 cm³
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Solution
Volume of a rectangular prism = length × width × height = 3 × 4 × 5 = 60 cm³.
Correct Answer:
A
— 60 cm³
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Q. A rectangular prism has dimensions 3 m, 4 m, and 5 m. What is its surface area?
A.
47 m²
B.
60 m²
C.
70 m²
D.
80 m²
Show solution
Solution
The surface area of a rectangular prism is given by SA = 2(lw + lh + wh). Here, SA = 2(3*4 + 3*5 + 4*5) = 2(12 + 15 + 20) = 2(47) = 94 m².
Correct Answer:
B
— 60 m²
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Q. A rectangular prism has dimensions 4 m, 3 m, and 5 m. What is its surface area?
A.
47 m²
B.
60 m²
C.
70 m²
D.
80 m²
Show solution
Solution
The surface area of a rectangular prism is given by SA = 2(lw + lh + wh). Here, SA = 2(4*3 + 4*5 + 3*5) = 2(12 + 20 + 15) = 2(47) = 94 m².
Correct Answer:
B
— 60 m²
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Q. A rectangular prism has dimensions 4 m, 5 m, and 6 m. What is its surface area?
A.
94 m²
B.
60 m²
C.
70 m²
D.
80 m²
Show solution
Solution
The surface area of a rectangular prism is given by SA = 2(lw + lh + wh). Here, SA = 2(4*5 + 4*6 + 5*6) = 94 m².
Correct Answer:
A
— 94 m²
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Q. A refrigerator operates between 250 K and 300 K. What is its coefficient of performance (COP)? (2022)
A.
1.2
B.
2.0
C.
3.0
D.
4.0
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Solution
COP = T_cold / (T_hot - T_cold) = 250 K / (300 K - 250 K) = 250 / 50 = 5.0.
Correct Answer:
C
— 3.0
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Q. A refrigerator removes heat from the inside at a rate of 200 J/s and expels it to the surroundings at a rate of 250 J/s. What is the coefficient of performance (COP) of the refrigerator? (2023)
A.
0.8
B.
1.25
C.
1.5
D.
2.0
Show solution
Solution
COP = Q_in / W = 200 J/s / (250 J/s - 200 J/s) = 200 / 50 = 4.
Correct Answer:
B
— 1.25
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Q. A refrigerator removes heat from the inside at a rate of 200 J/s and expels it to the outside at a rate of 250 J/s. What is the coefficient of performance (COP) of the refrigerator? (2022)
A.
0.8
B.
1.25
C.
1.5
D.
2.0
Show solution
Solution
COP = Q_c / W = 200 J/s / (250 J/s - 200 J/s) = 200 / 50 = 4.
Correct Answer:
B
— 1.25
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Q. A refrigerator removes heat from the interior at a rate of 200 W. If the coefficient of performance (COP) is 4, what is the power consumed by the refrigerator?
A.
50 W
B.
100 W
C.
200 W
D.
800 W
Show solution
Solution
COP = Qc/W, thus W = Qc/COP = 200 W / 4 = 50 W.
Correct Answer:
B
— 100 W
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Q. A report claims that increased screen time is linked to higher rates of anxiety in teenagers. What can be inferred from this report?
A.
All teenagers with high screen time experience anxiety.
B.
Screen time is the sole cause of anxiety in teenagers.
C.
There is a correlation between screen time and anxiety levels.
D.
Teenagers should reduce screen time to avoid anxiety.
Show solution
Solution
The report indicates a link, suggesting a correlation, but does not imply causation or that all teenagers are affected.
Correct Answer:
C
— There is a correlation between screen time and anxiety levels.
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Q. A report states that companies with flexible work hours have higher employee satisfaction. What can be inferred from this report?
A.
Flexible work hours guarantee employee satisfaction.
B.
All companies should adopt flexible work hours.
C.
There is a positive relationship between work hours flexibility and employee satisfaction.
D.
Employee satisfaction is unrelated to work hours.
Show solution
Solution
The report indicates a positive relationship between flexible work hours and employee satisfaction, but it does not guarantee satisfaction or suggest that all companies should adopt this policy.
Correct Answer:
C
— There is a positive relationship between work hours flexibility and employee satisfaction.
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Q. A report states that companies with flexible work hours have higher employee satisfaction. Which of the following can be inferred?
A.
Flexible work hours lead to higher employee satisfaction.
B.
All companies should adopt flexible work hours.
C.
Employee satisfaction is not affected by work hours.
D.
Companies without flexible hours have dissatisfied employees.
Show solution
Solution
The report indicates a relationship where flexible work hours are associated with higher satisfaction, suggesting a potential causal link.
Correct Answer:
A
— Flexible work hours lead to higher employee satisfaction.
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Q. A report states that increased screen time is linked to higher rates of anxiety among teenagers. What can be inferred from this report?
A.
All teenagers with high screen time experience anxiety.
B.
Screen time is the only factor contributing to teenage anxiety.
C.
There is a potential relationship between screen time and anxiety.
D.
Teenagers should reduce screen time to avoid anxiety.
Show solution
Solution
The report indicates a link but does not claim that screen time is the sole cause of anxiety.
Correct Answer:
C
— There is a potential relationship between screen time and anxiety.
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Q. A resistor of 10 ohms is connected to a 20V battery. What is the current flowing through the resistor?
A.
0.5 A
B.
1 A
C.
2 A
D.
5 A
Show solution
Solution
Using Ohm's Law, I = V/R = 20V / 10Ω = 2 A.
Correct Answer:
C
— 2 A
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Q. A resistor of 10 Ω and a capacitor of 100 μF are connected in series to an AC source of frequency 50 Hz. What is the capacitive reactance? (2020)
A.
3.18 Ω
B.
31.8 Ω
C.
0.318 Ω
D.
318 Ω
Show solution
Solution
Capacitive reactance Xc = 1/(2πfC) = 1/(2π(50)(100 × 10^-6)) ≈ 3.18 Ω.
Correct Answer:
A
— 3.18 Ω
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Q. A resistor of 10Ω is connected across a 20V battery. What is the power consumed by the resistor? (2021)
A.
40W
B.
20W
C.
10W
D.
5W
Show solution
Solution
Power (P) is given by P = V^2/R = 20V^2 / 10Ω = 400W / 10 = 40W.
Correct Answer:
A
— 40W
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Q. A resistor of 10Ω is connected to a 20V battery. What is the power consumed by the resistor? (2021)
A.
40W
B.
20W
C.
10W
D.
2W
Show solution
Solution
Power (P) is given by P = V^2/R = (20V)^2 / 10Ω = 400/10 = 40W.
Correct Answer:
A
— 40W
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Q. A resistor of 10Ω is connected to a 20V power supply. What is the power consumed by the resistor? (2021)
A.
40W
B.
20W
C.
10W
D.
2W
Show solution
Solution
Power (P) is given by P = V^2/R = (20V)^2 / 10Ω = 400/10 = 40W.
Correct Answer:
A
— 40W
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Q. A retailer bought a bicycle for $300 and sold it for $360. What is the profit percentage?
A.
15%
B.
20%
C.
25%
D.
30%
Show solution
Solution
Profit = Selling Price - Cost Price = $360 - $300 = $60. Profit Percentage = (Profit / Cost Price) * 100 = ($60 / $300) * 100 = 20%.
Correct Answer:
B
— 20%
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Q. A retailer bought a watch for $120 and sold it for $150. What is the profit percentage?
A.
20%
B.
25%
C.
30%
D.
15%
Show solution
Solution
Profit = Selling Price - Cost Price = $150 - $120 = $30. Profit Percentage = (Profit/Cost Price) * 100 = ($30/$120) * 100 = 25%.
Correct Answer:
B
— 25%
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